This option will only make it impossible to anyone to login to your wallet using the Tor Browser.
It
doesn't affect any payment that you may receive or send from your wallet, only the wallet access itself.
So, just use Tor for the website you want to use and when you need to access your wallet, use a normal browser.
Or even better, you could use
https://chipmixer.com/ (Tor link:
http://chipmixerwzxtzbw.onion/) to mix your Bitcoins
Check out their announcement thread
https://bitcointalk.org/index.php?topic=1935098